let N be non empty with_non-empty_elements set ; :: thesis: for l being Element of NAT
for S being non empty stored-program IC-Ins-separated definite realistic COM-Struct of N
for p being PartState of S st Start-At (l,S) c= p holds
IC p = l

let l be Element of NAT ; :: thesis: for S being non empty stored-program IC-Ins-separated definite realistic COM-Struct of N
for p being PartState of S st Start-At (l,S) c= p holds
IC p = l

let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for p being PartState of S st Start-At (l,S) c= p holds
IC p = l

let p be PartState of S; :: thesis: ( Start-At (l,S) c= p implies IC p = l )
assume Start-At (l,S) c= p ; :: thesis: IC p = l
then p is l -started by Th151;
hence IC p = l by Def16; :: thesis: verum